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Finding the Fourth Proportional to 314,132.50, 467,645.84 and 312,264.17

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Solution

The fourth proportional to 314,132.50, 467,645.84 and 312,264.17 is: 464,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,132.50 : 467,645.84 = 312,264.17 : x
  2. Step 2: Convert to fraction form
    314,132.50/467,645.84 = 312,264.17/x
  3. Step 3: Cross multiply
    314,132.50x = 467,645.84 × 312,264.17
  4. Step 4: Simplify right side
    314,132.50x = 146,029,039,106.67
  5. Step 5: Solve for x
    x = 146,029,039,106.67/314,132.50
  6. Step 6: Final answer
    x = 464,864.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.